scholarly journals Generalized Thermal Flux Flow for Jeffrey Fluid with Fourier Law over an Infinite Plate

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Muhammad Imran Asjad ◽  
Abdul Basit ◽  
Ali Akgül ◽  
Taseer Muhammad
Keyword(s):  
Temperature Distribution ◽  
Thermal Flux ◽  
Infinite Plate ◽  
Real Data ◽  
Jeffrey Fluid ◽  
Fractional Operator ◽  
Fourier Law ◽  
Flux Flow ◽  
Fluid Properties ◽  
Energy And Momentum

The unsteady flow of Jeffrey fluid along with a vertical plate is studied in this paper. The equations of momentum, energy, and generalized Fourier’s law of thermal flux are transformed to non-dimensional form for the proper dimensionless parameters. The Prabhakar fractional operator is applied to acquire the fractional model using the constitutive equations. To obtain the generalized results for velocity and temperature distribution, Laplace transform is performed. The influences of fractional parameters α , β , γ , thermal Grashof number Gr , and non-dimensional Prandtl number Pr upon velocity and temperature distribution are presented graphically. The results are improved in the form of decay of energy and momentum equations, respectively. The new fractional parameter contains the Mittag-Leffler kernel with three fractional parameters which are responsible for better memory of the fluid properties rather than the exponential kernel appearing in the Caputo–Fabrizio fractional operator. The Prabhakar fractional operator has advantage over Caputo–Fabrizio in the real data fitting where needed.

scholarly journals Flow of a Jeffrey Fluid Between Two Long Vertical Thin Plates with Porous Medium

2018 ◽  
Vol 7 (4.10) ◽  
pp. 1059
Author(s):  
S. Sreenadh ◽  
B. Govindarajulu ◽  
A. N.S. Srinivas ◽  
R. Nageshwar Rao
Keyword(s):  
Porous Medium ◽  
Temperature Distribution ◽  
Fluid Velocity ◽  
Numerical Results ◽  
Thin Plates ◽  
Jeffrey Fluid ◽  
Runge Kutta Method ◽  
Fluid Parameter ◽  
Permeability Parameter ◽  
Order Four

The present study investigates fully developed free - convection Jeffrey fluid flow between two vertical plates with porous medium. The vertical plates are moving with same velocity but in opposite directions. The coupled nonlinear governing equations are solved by using the linearization technique. The solutions for velocity distribution, temperature distribution, skin friction and rate of heat transfer is obtained in the presence of porous medium by Iterative procedure.  Shooting technique with Runge - Kutta method of order four is proposed to compare the numerical results for velocity and temperature distribution. The numerical results obtained by both methods are compared and presented graphically. It is observed that an increase in the permeability parameter causes decrease in the fluid velocity and an increase in the Jeffrey fluid parameter causes an enhancement in the fluid velocity. The significance of various pertinent parameters like Grashof number, Prandtl number, Eckert number and the plate velocity are explained through graphs.  

Prediction of Temperature Distribution on Submerged Arc Welded Plates through Gaussian Heat Distribution Technique

2011 ◽  
Vol 284-286 ◽  
pp. 2477-2480 ◽  
Author(s):  
Aniruddha Ghosh ◽  
Somnath Chattopadhyaya
Keyword(s):  
Temperature Distribution ◽  
Arc Welding ◽  
Infinite Plate ◽  
Welding Process ◽  
Submerged Arc Welding ◽  
High Deposition Rate ◽  
Microstructure Modeling ◽  
Arc Welding Process ◽  
Submerged Arc ◽  
Good Agreement

Submerged Arc Welding process (SAW) is a high quality, very high deposition rate welding process. It has lot of social and economical implecations.This paper makes an attempt to uncover an important area on studies of temperature distribution during submerged arc welding because this may pave the way for application of microstructure modeling, thermal stress analysis, residual stress/distribution and welding process simulation. Prediction of temperature variation of entire plates during welding through an analytical solution is derived from the transient multi dimensional heat conduction of semi infinite plate. The heat input that is applied on the plate is exactly same amount of heat lost for electric arc, which is assumed to be a moving double conical heat source with Gaussian distribution for Submerged Arc Welding process. Good agreement between predicted and experimental results has been achieved.

Bayesian linearized rock-physics inversion

Geophysics ◽  
2016 ◽  
Vol 81 (6) ◽  
pp. D625-D641 ◽  
Author(s):  
Dario Grana
Keyword(s):  
Granular Media ◽  
Computational Cost ◽  
Rock Physics ◽  
Real Data ◽  
Data Sets ◽  
New Approach ◽  
Amplitude Variation With Offset ◽  
Fluid Properties ◽  
Rock Physics Modeling ◽  
Physics Modeling

The estimation of rock and fluid properties from seismic attributes is an inverse problem. Rock-physics modeling provides physical relations to link elastic and petrophysical variables. Most of these models are nonlinear; therefore, the inversion generally requires complex iterative optimization algorithms to estimate the reservoir model of petrophysical properties. We have developed a new approach based on the linearization of the rock-physics forward model using first-order Taylor series approximations. The mathematical method adopted for the inversion is the Bayesian approach previously applied successfully to amplitude variation with offset linearized inversion. We developed the analytical formulation of the linearized rock-physics relations for three different models: empirical, granular media, and inclusion models, and we derived the formulation of the Bayesian rock-physics inversion under Gaussian assumptions for the prior distribution of the model. The application of the inversion to real data sets delivers accurate results. The main advantage of this method is the small computational cost due to the analytical solution given by the linearization and the Bayesian Gaussian approach.

scholarly journals Soret and Radiation Effects on Mixture of Ethylene Glycol-Water (50%-50%) Based Maxwell Nanofluid Flow in an Upright Channel

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Kashif Sadiq ◽  
Fahd Jarad ◽  
Imran Siddique ◽  
Bagh Ali
Keyword(s):  
Ethylene Glycol ◽  
Radiation Effects ◽  
Molecular Diffusion ◽  
Volume Fraction ◽  
Thermal Flux ◽  
Physical Parameters ◽  
Parallel Plates ◽  
Maxwell Nanofluid ◽  
Energy And Momentum ◽  
Nanoparticles Of Silver

In this article, ethylene glycol (EG) + waterbased Maxwell nanofluid with radiation and Soret effects within two parallel plates has been investigated. The problem is formulated in the form of partial differential equations. The dimensionless governing equations for concentration, energy, and momentum are generalized by the fractional molecular diffusion, thermal flux, and shear stress defined by the Caputo–Fabrizio time fractional derivatives. The solutions of the problems are obtained via Laplace inversion numerical algorithm, namely, Stehfest’s. Nanoparticles of silver (Ag) are suspended in a mixture of EG + water to have a nanofluid. It is observed that the thermal conductivity of fluid is enhanced by increasing the values of time and volume fraction. The temperature and velocity of water-silver nanofluid are higher than those of ethylene glycol (EG) + water (H2O)-silver (Ag) nanofluid. The results are discussed at 2% of volume fraction. The results justified the thermo-physical characteristics of base fluids and nanoparticles shown in the tables. The effects of major physical parameters are illustrated graphically and discussed in detail.

scholarly journals Three non-Newtonian fluids flow considering thin film over an unsteady stretching surface with variable fluid properties

2018 ◽  
Vol 10 (10) ◽  
pp. 168781401880736 ◽  
Author(s):  
Waris Khan ◽  
Muhammad Idress ◽  
Taza Gul ◽  
Muhammad Altaf Khan ◽  
Ebenezer Bonyah
Keyword(s):  
Thermal Conductivity ◽  
Liquid Flow ◽  
Newtonian Fluids ◽  
Jeffrey Fluid ◽  
Stretching Surface ◽  
Dynamic Constraints ◽  
Maxwell Fluids ◽  
Fluid Properties ◽  
Unsteady Stretching Surface ◽  
Optimal Approach

This research examines the features of liquid film of non-Newtonian fluids under the influence of thermophoresis. For this study, we proposed a mathematical model for Jeffrey, Maxwell, and Oldroyd-B fluids and concluded the unsteady stretched surface in the existence of a magnetic field and also the thermal conductivity was measured which is directly related to the temperature whereas the viscosity inversely related to the temperature. Inserting the thermophoretic effect which improved the thermal conductivity of Jeffrey fluid over the Oldroyd-B and Maxwell fluids. The model is helpful for the liquid flow of Jeffrey, Maxwell, and Oldroyd-B fluid including the Brownian motion parameter effect. The results have been obtained through optimal approach compared with numerical (ND-Solve) method. Study mainly focused to understand the physical appearance of the embedded parameters based on the characteristic length of the liquid flow. The behavior of skin friction, local Nusselt number, and Sherwood number has been described numerically for the dynamic constraints of the problem. The obtained results are drafted graphically and discussed.

Some Unsteady Flows of a Jeffrey Fluid between Two Side Walls over a Plane Wall

2011 ◽  
Vol 66 (12) ◽  
pp. 745-752 ◽  
Author(s):  
Masood Khan ◽  
Faiza Iftikhar ◽  
Asia Anjum
Keyword(s):  
Infinite Plate ◽  
Unsteady Flows ◽  
Integral Transforms ◽  
Plane Wall ◽  
Second Grade ◽  
Jeffrey Fluid ◽  
Transient Solutions ◽  
Side Walls ◽  
Similar Solutions ◽  
Oscillating Plate

In this paper, some time-dependent flows of a non-Newtonian fluid between two side walls over a plane wall are investigated. The following three problems have been studied: (i) flow due to an oscillating plate, (ii) flow due to an accelerating plate, and (iii) flow due to applied constant stress. The explicit expressions for the velocity field are determined by using the integral transforms. The solutions that have been obtained, depending on the initial and boundary conditions, are written as sum of the steady state and transient solutions. The similar solutions for second-grade and Newtonian fluids can be deduced as limiting cases of our solutions. Furthermore, in absence of the side walls they reduce to the similar solutions over an infinite plate. The effects of some important parameters due to side walls on the flow field are investigated.

Magnetohydrodynamic peristaltic flow of Bingham fluid in a channel: An application to blood flow

2021 ◽  
Vol 15 (2) ◽  
pp. 8082-8094
Author(s):  
Rajashekhar C ◽  
Manjunatha G ◽  
F. Mebarek-Oudina ◽  
Hanumesh Vaidya ◽  
Prasad K V ◽  
...  
Keyword(s):  
Blood Circulation ◽  
Biological Fluids ◽  
Current Model ◽  
Concentration Field ◽  
Velocity Slip ◽  
Variable Thermal Conductivity ◽  
Fluid Properties ◽  
Mass And Heat Transfer ◽  
Energy And Momentum ◽  
Nonlinear Energy

The paper examined a theoretical investigation of the stimulus of mass and heat transfer on the channel's peristaltic utilization of the MHD Bingham liquid. The research study is motivated to explore blood circulation in the little vessels by taking the slip, variable thermal conductivity, and thickness of the wall features into account.  The leading constitutive equations are established based on low Reynolds number and approximations for long wavelengths. The solution for the resulting nonlinear energy and momentum equations is obtained using a semi-analytic method, while the exact solution for the concentration field is obtained. Using the MATLAB software, the influences of different constraints on the interest of physiological quantities are represented graphically. One of the considerable outcomes of the current model exposes that the existence of variable fluid properties boosts the rate as well as temperature level areas. The rheological and flow properties of various biological fluids can be derived from this model as a particular case. Moreover, the formation of stuck bolus diminishes for larger values of the magnetic and velocity slip constraints.

Calorimetric Investigation for Thermal Plate of Casson Fluid via Fractional Derivative

2019 ◽  
Vol 8 (8) ◽  
pp. 1668-1675
Author(s):  
Muhammad Nawaz Mirbahar ◽  
Kashif Ali Abro ◽  
Abdul Wasim Shaikh
Keyword(s):  
Temperature Distribution ◽  
Velocity Profile ◽  
Mass Concentration ◽  
Special Functions ◽  
Integral Transforms ◽  
Casson Fluid ◽  
Collective Effects ◽  
Fractional Operator ◽  
Moving Plate ◽  
Fractional Solution

The manuscript reveals the collective effects of the moving plate of Casson fluid in which magnetic, porous outcomes are under consideration. Thermal stratification is investigated to disclose the hidden phenomenon of mass concentration and temperature distribution. Fractional operator has been applied on the fundamental equations of Casson fluid namely Caputo-Fabrizio fractional operator based on sufficient memory operator. For the exact analysis of basic fractional governing equations of velocity profile, temperature distribution and mass concentration the integral transforms have been employed. The solutions of the dimensionless equations have been described in terms special functions in convoluted form. For the sake of non-fractional solution of the basic equations of the Casson fluid X = 1 in the obtained solutions has been implemented for the four type's fluid models. Finally, thermal conductivity of the fluid has been analyzed by estimating various different parametric values which result the increment in velocity profile along with porous permeability but reverse in transvers magnetic field on the flow.

Transient Heat Conduction in an Infinite Plate With a Transverse Circular Cylindrical Hole

1973 ◽  
Vol 95 (3) ◽  
pp. 414-416 ◽  
Author(s):  
C. D. Michalopoulos ◽  
J. J. Seco
Keyword(s):  
Heat Conduction ◽  
Temperature Distribution ◽  
Infinite Plate ◽  
Transient Heat Conduction ◽  
Cylindrical Hole ◽  
The Other ◽  
Graphical Form ◽  
Zero Temperature ◽  
Temperature Distributions ◽  
Axisymmetric Temperature

The flow of heat in an infinite plate with a transverse circular cylindrical hole is considered. The boundary conditions are zero temperature on the cylindrical surface and arbitrary but axisymmetric temperature distributions on the plane surfaces. The solution is obtained by means of Laplace and an unconventional Hankel transforms. Numerical results are given in graphical form for a plate with a step temperature distribution on one face and zero temperature on the other.

Sign in / Sign up

Export Citation Format

Share Document